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Finding the Fourth Proportional to 934.68, 1,289.32 and 824.42

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Solution

The fourth proportional to 934.68, 1,289.32 and 824.42 is: 1,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.68 : 1,289.32 = 824.42 : x
  2. Step 2: Convert to fraction form
    934.68/1,289.32 = 824.42/x
  3. Step 3: Cross multiply
    934.68x = 1,289.32 × 824.42
  4. Step 4: Simplify right side
    934.68x = 1,062,941.19
  5. Step 5: Solve for x
    x = 1,062,941.19/934.68
  6. Step 6: Final answer
    x = 1,137.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.